Question: Consider a probability distribution for event sizes s given by where A is a normalisation factor. (a) Explain in what sense power laws are scale

Consider a probability distribution for event sizes s given by

P(s) = = {: As 0 if s N otherwise

where A is a normalisation factor.
(a) Explain in what sense power laws are scale invariant.
(b) Derive the normalisation constant.
(c) Compute the moments of the distribution and derive criteria on τ for the existence of the ath moment.

P(s) = = {: As 0 if s N otherwise

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